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Data Analysis And Statistics Homework
The Struggle Is Real But Thats Ok
I wholeheartedly understand the struggle people have with maths, because I have it too. Memories of confusing maths classes, struggling with equations, and feeling stupid in class are part of my entire education. I bailed on maths early on, and didnt even take it to standard grade as I was not good at it.
When I eventually ended up in university, I was made to do beginners maths classes alongside my degree, which didnt really go much better. Until I got into the statistics courses. Here was math, but it was hidden inside practical applications. For the first time I was using the concepts to *do* things, rather than just for the sake of it. What a game changer.
And I have taught enough students data and statistics now over the last 8 years to know often this is the turning point as well. The theory that seems complex, suddenly gets context. We see how values like means, medians and modes appear on plots, and in the context of real life data. Lines are fit to data, and we can actually see what changing the data does to a line. The resounding feedback weve had is that statistics isnt as scary once you get taught it.
Now you know, it is possible to launch a career in data without being a mathematical wizard!
If youre interested in learning more about our data analysis courses, take a look at our course page or join us at an info session, wed love to see you there!
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Data Analysis And Statistics Study Skills: Reworking Your Notes
11.111.3 What Did You Learn?
Core Vocabulary
Mathematical Practices
Question 1.What previously established results, if any, did you use to solve Exercise 31 on page 602?
Answer:
What external resources, if any, did you use to answer Exercise 36 on page 616?Answer:
Study Skills: Reworking Your Notes
Its almost impossible to write down in your notes all the detailed information you are taught in class. A good way to reinforce the concepts and put them into your long-term memory is to rework your notes. When you take notes, leave extra space on the pages. You can go back after class and fill in:
- important definitions and rules
- questions you have about the material
Making Inferences From Experiments 116 Exercises
Vocabulary and Core Concept CheckQuestion 1.A method in which new samples are repeatedly drawn from the data set is called ____________.Answer:
Which is different? Find both answers.
Answer:What is the square root of the average of the squared differences from 2.85. The same answer is -2.85, different answer is 5.03.
Explanation:The experimental difference of the means between the averages of the experimental group and control groups, which can be written as < treatment> < control> So, the different question is the third question which asks to determine the square root of the average of the sqaured differences from 2.85.< treatment> = \= 0.55< control> = \ = 3.4< treatment> < control> = 0.55 3.4 = -2.85The same answer is -2.85the answer to the different question is= )² + )² + . . . +)²))= )
Monitoring Progress and Modeling with Mathematics
Question 3.PROBLEM SOLVINGA randomized comparative experiment tests whether music therapy affects the depression scores of college students. The depression scores range from 20 to 80, with scores greater than 50 being associated with depression. The control group has eight students and the treatment group, which receives the music therapy, has eight students. The table shows the results.a. Find the mean score of the control group.b. Find the mean score of the treatment group.c. Find the experimental difference of the means.d. Display the data in a double dot plot.e. What can you conclude?Answer:
Answer:
z3 + 5z2 9z 45 =
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Lesson 111 Using Normal Distributions
Essential Question In a normal distribution, about what percent of the data lies within one, two, and three standard deviations of the mean?Recall that the standard deviation of a numerical data set is given by = \^+\left^+\cdots+\left^}}\)where n is the number of values in the data set and is the mean of the data set.
EXPLORATION 1
Analyzing a Normal DistributionWork with a partner. In many naturally occurring data sets, the histogram of the data is bell-shaped. In statistics, such data sets are said to have a normal distribution. For the normal distribution shown below, estimate the percent of the data that lies within one, two, and three standard deviations of the mean. Each square on the grid represents 1%.
EXPLORATION 2
Analyzing a Data SetWork with a partner. A famous data set was collected in Scotland in the mid-1800s. It contains the chest sizes of 5738 men in the Scottish Militia. Do the data fit a normal distribution? Explain.
Communicate Your Answer
Question 3.In a normal distribution, about what percent of the data lies within one, two, and three standard deviations of the mean?Answer:
Question 4.Use the Internet or some other reference to find another data set that is normally distributed. Display your data in a histogram.Answer:
A normal distribution has mean and standard deviation . Find the indicated probability for a randomly selected x-value from the distribution.Question 1.
P = 0.16
Answer:P = 0.815
Lesson 113 Collecting Data
Essential Question What are some considerations when undertaking a statistical study? The goal of any statistical study is to collect data and then use the data to make a decision. Any decision you make using the results of a statistical study is only as reliable as the process used to obtain the data. If the process is flawed, then the resulting decision is questionable.
EXPLORATION 1
Analyzing Sampling TechniquesWork with a partner. Determine whether each sample is representative of the population. Explain your reasoning.a. To determine the number of hours people exercise during a week, researchers use random-digit dialing and call 1500 people.b. To determine how many text messages high school students send in a week, researchers post a survey on a website and receive 750 responses.c. To determine how much money college students spend on clothes each semester,a researcher surveys 450 college students as they leave the university library.d. To determine the quality of service customers receive, an airline sends an e-mail survey to each customer after the completion of a flight.
EXPLORATION 2
EXPLORATION 3
Communicate Your Answer
What are some considerations when undertaking a statistical study?Answer:
Question 5.Find a real-life example of a biased survey question. Then suggest an unbiased rewording of the question.Answer:
Answer:A cluster sample.
Question 2.Describe another method you can use to obtain a stratified sample in Example 1.
Answer:A convenience sample.
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Data Analysis And Statistics 111113 Quiz
A normal distribution has a mean of 32 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval.Question 1.
The entire population was surveyed.
Question 9.A researcher records the number of bacteria present in several samples in a laboratory. Identify the method of data collection.
Answer:Observational study
Question 10.You spin a five-color spinner, which is divided into equal parts, five times and every time the spinner lands on red. You suspect the spinner favors red. The maker of the spinner claims that the spinner does not favor any color. You simulate spinning the spinner 50 times by repeatedly drawing 200 random samples of size 50. The histogram shows the results. Use the histogram to determine what you should conclude when you spin the actual spinner 50 times and the spinner lands on red 9 times and 19 times.
Answer:a) The markers claim is most likely trueb) The markers claim is most likely fasle
Question 11.A local television station wants to find the number of hours per week people in the viewing area watch sporting events on television. The station surveys people at a nearby sports stadium.a. Identify the type of sample described.b. Is the sample biased? Explain your reasoning.c. Describe a method for selecting a random sample of 200 people to survey.
Data Analysis And Statistics Assessments
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How Much Math Do You Need For Data Analysis
While data analysts need to be good with numbers, and a foundational knowledge of Math and Statistics can be helpful, much of data analysis is just following a set of logical steps. As such, people can succeed in this domain without much mathematical knowledge.
If you are considering a career in data but youre worried about your mathematical skills not being good enough, our Head of Data Delivery at CodeClan, Stephanie Boyle, is here to ease your mind. Heres her experience with Data Analysis, CodeClan graduates and Maths:
One of the most frequent things I hear from people considering doing the data course is: I dont have a lot of experience with Maths, so I dont think I can do the course.
And I get why. Chances are if you google What maths do I need to know to become a data scientist? youll end up with a list as long as your arm, which includes things like probability, calculus, linear algebra, trigonometry, differential equations, functions, geometry, statistics and so on.
Lesson 116 Making Inferences From Experiments
Essential Question How can you test a hypothesis about an experiment?
EXPLORATION 1
Resampling DataWork with a partner. A randomized comparative experiment tests whether water with dissolved calcium affects the yields of yellow squash plants. The table shows the results.a. Find the mean yield of the control group and the mean yield of the treatment group. Then find the difference of the two means. Record the results.b. Write each yield measurement from the table on an equal-sized piece of paper. Place the pieces of paper in a bag, shake, and randomly choose 10 pieces of paper. Call this the control group, and call the 10 pieces in the bag the treatment group. Then repeat part and return the pieces to the bag. Perform this resampling experiment five times.c. How does the difference in the means of the control and treatment groups compare with the differences resulting from chance?
EXPLORATION 2
Communicate Your Answer
How can you test a hypothesis about an experiment?Answer:
Question 4.The randomized comparative experiment described in Exploration 1 is replicated and the results are shown in the table. Repeat Explorations 1 and 2 using this data set. Explain any differences in your answers.Answer:
Monitoring Progress
Question 1.In Example 1, interpret the meaning of \ \ control when the difference is negative, zero, and positive.
Question 2.In Example 3, what are the consequences of concluding that the hypothesis is false when it is actually true?
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Practical Examples Highlight The Basic Concepts Of Data Analysis And Statistics In This Video
A video- and web-based course on basic concepts of statistics for K-8 teachers 11 half-hour video programs, course guide, and website.
Learning Math: Data Analysis, Statistics, and Probability is one of five video- and Web-based mathematics courses for elementary and middle school teachers. These courses, organized around the content standards of the National Council of Teachers of Mathematics , will help you better understand the mathematics concepts underlying the content that you teach.
Lesson 114 Experimental Design
Essential Question How can you use an experiment to test a conjecture?
EXPLORATION 1
Using an ExperimentWork with a partner. Standard white playing dice are manufactured with black dots that are indentations, as shown. So, the side with six indentations is the lightest side and the side with one indentation is the heaviest side.You make a conjecture that when you roll a standard playing die, the number 6 will come up more often than the number 1 because 6 is the lightest side. To test your conjecture, roll a standard playing die 25 times. Record the results in the table. Does the experiment confirm your conjecture? Explain your reasoning.
EXPLORATION 2
Analyzing an ExperimentWork with a partner. To overcome the imbalance of standard playing dice, one of the authors of this book invented and patented 12-sided dice, on which each number from 1 through 6 appears twice . See BigIdeasMath.com.As part of the patent process, a standard playing die was rolled 27,090 times. The results are shown below.What can you conclude from the results of this experiment? Explain your reasoning.
Communicate Your Answer
How can you use an experiment to test a conjecture?Answer:
Question 4.Exploration 2 shows the results of rolling a standard playing die 27,090 times to test the conjecture in Exploration 1. Why do you think the number of trials was so large?Answer:
Answer:The study is a randomized comparative experiment.
Answer:Experimental study
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Aiipr Polynomial Rational And Other Equations And Functions
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AII.PR.1 Solve real-world and other mathematical problems involving polynomial equations with and without technology. Interpret the solutions and determine whether the solutions are reasonable.
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AII.PR.2 Graph mathematical functions including: a. polynomial functions b. rational functions c. square root functions d. absolute value functions and, e. piecewise-defined functions with technology. Identify and describe features, such as intercepts, domain and range, end behavior, and lines of symmetry.
Big Ideas Math Book Algebra 2 Answer Key Chapter 11 Data Analysis And Statistics
Below is the list of Topicwise Big Ideas Math Textbook Algebra 2 Chapter 11 Data Analysis and Statistics Answers. All of them are sequenced as per the BIM Textbooks and are as per the latest Common Core Curriculum. All you have to do is simply tap on the quick links available to learn the respective topics. Have an indepth understanding of concepts from easy to complex ones by solving the Big Ideas Math Answer Key Ch 11 Data Analysis and Statistics on a regular basis.
Answer:
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Lesson 115 Making Inferences From Sample Surveys
Essential Question How can you use a sample survey to infer a conclusion about a population?
EXPLORATION 1
Making an Inference from a SampleWork with a partner. You conduct a study to determine what percent of the high school students in your city would prefer an upgraded model of their current cell phone. Based on your intuition and talking with a few acquaintances, you think that 50% of high school students would prefer an upgrade. You survey50 randomly chosen high school students and find that 20 of them prefer an upgraded model.a. Based on your sample survey, what percent of the high school students in your city would prefer an upgraded model? Explain your reasoning.b. In spite of your sample survey, is it still possible that 50% of the high school students in your city prefer an upgraded model? Explain your reasoning.c. To investigate the likelihood that you could have selected a sample of 50 from a population in which 50% of the population does prefer an upgraded model, you create a binomial distribution as shown below. From the distribution, estimate the probability that exactly 20 students surveyed prefer an upgraded model. Is this event likely to occur? Explain your reasoning.d. When making inferences from sample surveys, the sample must be random. In the situation described above, describe how you could design and conduct a survey using a random sample of 50 high school students who live in a large city.
Communicate Your Answer
Monitoring Progress
Answer: = 294